details

property	value
status	complete
benchmark	dup06.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n142.star.cs.uiowa.edu
space	Trafo_06

run statistics

property	value
solver	MultumNonMulta 20 June 2020 20G sparse
configuration	default
runtime (wallclock)	0.566219 seconds
cpu usage	1.3254
user time	1.13663
system time	0.188768
max virtual memory	2.597844E7
max residence set size	213252.0

stage attributes

key	value
starexec-result	YES

output

YES After renaming modulo { a->0, b->1, c->2 }, it remains to prove termination of the 3-rule system { 0 0 1 1 -> 1 1 2 2 0 0 , 1 1 2 2 -> 2 2 1 1 1 1 , 1 1 0 0 -> 0 0 2 2 1 1 } Applying the dependency pairs transformation. After renaming modulo { (0,true)->0, (0,false)->1, (1,false)->2, (1,true)->3, (2,false)->4 }, it remains to prove termination of the 15-rule system { 0 1 2 2 -> 3 2 4 4 1 1 , 0 1 2 2 -> 3 4 4 1 1 , 0 1 2 2 -> 0 1 , 0 1 2 2 -> 0 , 3 2 4 4 -> 3 2 2 2 , 3 2 4 4 -> 3 2 2 , 3 2 4 4 -> 3 2 , 3 2 4 4 -> 3 , 3 2 1 1 -> 0 1 4 4 2 2 , 3 2 1 1 -> 0 4 4 2 2 , 3 2 1 1 -> 3 2 , 3 2 1 1 -> 3 , 1 1 2 2 ->= 2 2 4 4 1 1 , 2 2 4 4 ->= 4 4 2 2 2 2 , 2 2 1 1 ->= 1 1 4 4 2 2 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 is interpreted by / \ | 1 1 | | 0 1 | \ / 1 is interpreted by / \ | 1 1 | | 0 1 | \ / 2 is interpreted by / \ | 1 0 | | 0 1 | \ / 3 is interpreted by / \ | 1 0 | | 0 1 | \ / 4 is interpreted by / \ | 1 0 | | 0 1 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4 }, it remains to prove termination of the 11-rule system { 0 1 2 2 -> 3 2 4 4 1 1 , 0 1 2 2 -> 3 4 4 1 1 , 0 1 2 2 -> 0 1 , 3 2 4 4 -> 3 2 2 2 , 3 2 4 4 -> 3 2 2 , 3 2 4 4 -> 3 2 , 3 2 4 4 -> 3 , 3 2 1 1 -> 0 1 4 4 2 2 , 1 1 2 2 ->= 2 2 4 4 1 1 , 2 2 4 4 ->= 4 4 2 2 2 2 , 2 2 1 1 ->= 1 1 4 4 2 2 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 5: 0 is interpreted by / \ | 1 0 1 0 0 | | 0 1 0 0 0 | | 0 0 0 0 0 | | 0 0 0 0 0 | | 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 | | 0 1 0 0 0 | | 0 0 0 1 0 | | 0 0 1 0 0 | | 0 1 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 | | 0 1 0 0 0 | | 0 0 0 0 0 | | 0 0 0 0 1 | | 0 1 0 1 0 | popout

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